How Much Force Can a Human Femur Withstand Before Breaking?

In summary, the Femur bone in the human leg has a compressive strength of 170 x 10^6 N/m2 and can withstand a compressible force of 0.0003m2 before breaking.
  • #1
jphillip
10
0

Homework Statement



The Femur bone in the human leg has a minimum effective cross section of about 3.0 cm2 How much compressible force can it withstand before breaking

Homework Equations



Compressive Strength (bone)(N/m2) = 170 x 106
P = F/A

The Attempt at a Solution


Not sure what a cross section is exactly, how should A in formula Stress = F/A be written when they state 3 cm2 cross section.
A = PI*R2

which one do I use for R
A = .0152
A = .03
A = .032

170 x 106 = F / .03m2
 
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  • #2
The A in the formula is the cross sectional area. The cross section is a "slice" of the object in question. For example, if you cut into an apple, the resulting flat shape you see would be a cross section of the apple.
 
  • #3
3.0cm^2 * (1m/100cm)^2 = 0.0003m^2 which is the cross sectional area of the bone.
 

Related to How Much Force Can a Human Femur Withstand Before Breaking?

1. What is a cross section in compression calculations?

A cross section in compression calculations refers to the area of the material that is being compressed. It is usually represented as a square or rectangular shape and is used to determine the force required to compress the material.

2. How do I calculate cross section in compression calculations?

To calculate the cross section in compression calculations, you will need to measure the length and width of the material being compressed. Then, multiply the length by the width to get the area of the cross section. This area will be used in the compression calculation formula.

3. What is the importance of cross section in compression calculations?

The cross section is important in compression calculations because it helps determine the force required to compress the material. It also gives an idea of the strength and durability of the material, as a larger cross section usually means a stronger material.

4. How does cross section affect compression calculations?

The cross section directly affects compression calculations as it is used in the formula to determine the force required to compress the material. A larger cross section will result in a higher force needed to compress the material, while a smaller cross section will require less force.

5. Can cross section be changed in compression calculations?

Yes, the cross section can be changed in compression calculations by altering the dimensions of the material being compressed. However, this may also affect the strength and durability of the material, and should be done carefully and with proper calculations.

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